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Finding the Third Proportional to 383,575 and 575,363

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Solution

The third proportional to 383,575 and 575,363 is: 863,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,575 : 575,363 = 575,363 : x
  2. Step 2: Convert to fraction form
    383,575/575,363 = 575,363/x
  3. Step 3: Cross multiply
    383,575x = 575,363 × 575,363
  4. Step 4: Simplify right side
    383,575x = 331,042,581,769
  5. Step 5: Solve for x
    x = 331,042,581,769/383,575
  6. Step 6: Final answer
    x = 863,045.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.